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Finding the Fourth Proportional to 630.18, 942.84 and 455.76

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Solution

The fourth proportional to 630.18, 942.84 and 455.76 is: 681.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.18 : 942.84 = 455.76 : x
  2. Step 2: Convert to fraction form
    630.18/942.84 = 455.76/x
  3. Step 3: Cross multiply
    630.18x = 942.84 × 455.76
  4. Step 4: Simplify right side
    630.18x = 429,708.76
  5. Step 5: Solve for x
    x = 429,708.76/630.18
  6. Step 6: Final answer
    x = 681.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.